Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

ἐπεὶ οὖν εὐθεῖα ἡ ΑΓ τέτμηται εἰσ μὲν ἴσα κατὰ τὸ Η, εἰσ δὲ ἄνισα κατὰ τὸ Ε, τὸ ἄρα ὑπὸ τῶν ΑΕ, ΕΓ περιεχόμενον ὀρθογώνιον μετὰ τοῦ ἀπὸ τῆσ ΕΗ τετραγώνου ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΗΓ·
(유클리드, Elements, book 3, type Prop605)
τὸ ἄρα ὑπὸ τῶν ΑΕ, ΕΓ μετὰ τῶν ἀπὸ τῶν ΗΕ, ΗΖ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΓΗ, ΗΖ.
(유클리드, Elements, book 3, type Prop607)
τὸ ἄρα ὑπὸ τῶν ΑΕ, ΕΓ μετὰ τοῦ ἀπὸ τῆσ ΖΕ ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΖΓ.
(유클리드, Elements, book 3, type Prop609)
τὸ ἄρα ὑπὸ τῶν ΑΕ, ΕΓ μετὰ τοῦ ἀπὸ τῆσ ΕΖ ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΖΒ.
(유클리드, Elements, book 3, type Prop611)
ἐδείχθη δὲ καὶ τὸ ὑπὸ τῶν ΑΕ, ΕΓ μετὰ τοῦ ἀπὸ τῆσ ΖΕ ἴσον τῷ ἀπὸ τῆσ ΖΒ·
(유클리드, Elements, book 3, type Prop613)
τὸ ἄρα ὑπὸ τῶν ΑΕ, ΕΓ μετὰ τοῦ ἀπὸ τῆσ ΖΕ ἴσον ἐστὶ τῷ ὑπὸ τῶν ΔΕ, ΕΒ μετὰ τοῦ ἀπὸ τῆσ ΖΕ.
(유클리드, Elements, book 3, type Prop614)
λοιπὸν ἄρα τὸ ὑπὸ τῶν ΑΕ, ΕΓ περιεχόμενον ὀρθογώνιον ἴσον ἐστὶ τῷ ὑπὸ τῶν ΔΕ, ΕΒ περιεχομένῳ ὀρθογωνίῳ.
(유클리드, Elements, book 3, type Prop616)
καὶ ἐπεὶ ἴση ἐστὶν ἡ ΑΔ τῇ ΑΒ, καί ἐστι τῆσ μὲν ΑΔ ἡμίσεια ἡ ΑΕ, τῆσ δὲ ΑΒ ἡμίσεια ἡ ΑΖ, ἴση ἄρα καὶ ἡ ΑΕ τῇ ΑΖ·
(유클리드, Elements, book 4, type Prop129)
Μέγεθοσ γὰρ τὸ ΑΒ μεγέθουσ τοῦ ΓΔ ἰσάκισ ἔστω πολλαπλάσιον, ὅπερ ἀφαιρεθὲν τὸ ΑΕ ἀφαιρεθέντοσ τοῦ ΓΖ·
(유클리드, Elements, book 5, type Prop46)
Ὁσαπλάσιον γάρ ἐστι τὸ ΑΕ τοῦ ΓΖ, τοσαυταπλάσιον γεγονέτω καὶ τὸ ΕΒ τοῦ ΓΗ.
(유클리드, Elements, book 5, type Prop48)
Καὶ ἐπεὶ ἰσάκισ ἐστὶ πολλαπλάσιον τὸ ΑΕ τοῦ ΓΖ καὶ τὸ ΕΒ τοῦ ΗΓ, ἰσάκισ ἄρα ἐστὶ πολλαπλάσιον τὸ ΑΕ τοῦ ΓΖ καὶ τὸ ΑΒ τοῦ ΗΖ.
(유클리드, Elements, book 5, type Prop49)
κεῖται δὲ ἰσάκισ πολλαπλάσιον τὸ ΑΕ τοῦ ΓΖ καὶ τὸ ΑΒ τοῦ ΓΔ.
(유클리드, Elements, book 5, type Prop50)
καὶ ἐπεὶ ἰσάκισ ἐστὶ πολλαπλάσιον τὸ ΑΕ τοῦ ΓΖ καὶ τὸ ΕΒ τοῦ ΗΓ, ἴσον δὲ τὸ ΗΓ τῷ ΔΖ, ἰσάκισ ἄρα ἐστὶ πολλαπλάσιον τὸ ΑΕ τοῦ ΓΖ καὶ τὸ ΕΒ τοῦ ΖΔ.
(유클리드, Elements, book 5, type Prop55)
ἰσάκισ δὲ ὑπόκειται πολλαπλάσιον τὸ ΑΕ τοῦ ΓΖ καὶ τὸ ΑΒ τοῦ ΓΔ·
(유클리드, Elements, book 5, type Prop56)
τὸ δὴ ἔλασσον τῶν ΑΕ, ΕΒ πολλαπλασιαζόμενον ἔσται ποτὲ τοῦ Δ μεῖζον.
(유클리드, Elements, book 5, type Prop102)

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